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An oblique cylinder is labeled with a height of 15 centimeters and radius 5 centimeters.

Find the surface area of the cylinder below. Use the approximation 3.14 for pi.

1 answer

To find the surface area of an oblique cylinder, we need to calculate the curved surface area (CSA) and the area of the two circular bases.

1. Curved Surface Area (CSA):
The formula for the curved surface area of a cylinder is:
CSA = 2 * π * r * h

In this case, the radius (r) is 5 cm and the height (h) is 15 cm:
CSA = 2 * 3.14 * 5 * 15
CSA = 471 cm²

2. Area of the two circular bases:
The formula for the area of a circle is:
Area = π * r²

Since we have two circular bases, we need to calculate the area of both:
Area = 3.14 * 5²
Area = 3.14 * 25
Area = 78.5 cm²

3. Total Surface Area:
To find the total surface area, we add the CSA and the area of the two bases:
Total Surface Area = CSA + 2 * Area
Total Surface Area = 471 + 2 * 78.5
Total Surface Area = 471 + 157
Total Surface Area = 628 cm²

Therefore, the surface area of the oblique cylinder is 628 square centimeters.